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What is the Square Root of 27764?

The square root of 27764 is 166.6253282067. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27764 = 166.6253282067
CalculatedNon-perfect squareIrrational
Exact form√27764
Perfect squareNo
Number typeIrrational
Verification166.62532820672 ≈ 27764

On this page

How the answer is calculated

We solve x2 = 27764. The resulting value is x = 166.6253282067.

Verification: 166.62532820672 ≈ 27764.

Simplified radical form

The square root of 27764 in simplified radical form is 2√6941.

This is equivalent to √27764, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16627556
Upper or equal16727889

Nearby square roots

NumberSquare root
√27761166.6163257307
√27762166.6193266101
√27763166.6223274354
√27764166.6253282067
√27765166.628328924
√27766166.6313295872
√27767166.6343301964

Number properties

Is 27764 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27764 is irrational because 27764 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 27764.